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the mean lifespan is 71.45 years, and the standard deviation is 12.35 years. Mr. Rodriguez would like to know how many days, on average, presidents tend to live beyond their 70th birthday. Find the mean and standard deviation of the transformed data. Note: There are 365 days in a year.

Respuesta :

Answer:

Mean = ∑x + standard deviation = 429.21

Step-by-step explanation:

Mean lifespan = 71.45 years

Standard deviation = 12.35 years

Standard deviation= ∂ = x-µ / N

∂ = standard deviation

µ= mean

x = size of year

By using formula of standard deviation:

                                            = 70 – 71.45 / 12.53

                              Approximately equal to 64.21

Mean = ∑x + standard deviation

          = 365 + 64.21

       = 429.21

Converting years to days, it is found that:

  • The mean of the transformed data is of 529.25 days.
  • The standard deviation is of 4507.75 days.

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  • We consider that an year has 365 days, using this information for the conversions that will be made.
  • The mean lifespan is 71.45 years, that is, 71.45 - 70 = 1.45 years above their 70th birthday, which is 1.45 x 365 = 529.25 days.
  • The standard deviation of the data remains constant, just converted to days, thus, 12.35 x 365 = 4507.75 days.

A similar problem is given at https://brainly.com/question/14798865

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